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Finding the Fourth Proportional to 9,476.96, 13,079.41 and 7,880.85

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Solution

The fourth proportional to 9,476.96, 13,079.41 and 7,880.85 is: 10,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.96 : 13,079.41 = 7,880.85 : x
  2. Step 2: Convert to fraction form
    9,476.96/13,079.41 = 7,880.85/x
  3. Step 3: Cross multiply
    9,476.96x = 13,079.41 × 7,880.85
  4. Step 4: Simplify right side
    9,476.96x = 103,076,848.60
  5. Step 5: Solve for x
    x = 103,076,848.60/9,476.96
  6. Step 6: Final answer
    x = 10,876.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.